Return to Assignments Quadratic functions and graphs

### Assignment 7

For which value of does the parabola:

have two intersection points with the -axis having a mutual distance of ?

### Solution

According to the -formula, the intersection points with the -axis are:

So:

or

The distance between both intersection points is and thus we have to calculate from (see also Absolute value |x|):

so:

of

so:

or